Non-fragile H∞ memory sampled-data state-feedback control for continuous-time nonlinear Markovian jump fuzzy systems with time-varying delay

Author(s):  
Jun Zhang ◽  
Deyou Liu ◽  
Yuechao Ma ◽  
Peng Yu
2019 ◽  
Vol 2019 ◽  
pp. 1-14 ◽  
Author(s):  
Le Zhang ◽  
Meiyu Jia ◽  
Hong Yang ◽  
Gang Wu

Consider the problem of memoryless state feedback controller for time-delay system, which cannot consider both the memoryless and the memory items in the system. Therefore, the memoryless state feedback controller has certain limitations and is more conservative. This paper addresses the memory state feedback control for the time-varying delay switched fuzzy systems based on T-S fuzzy model to overcome the problem discussed above. The state vector and input of the time-varying delay systems contain unknown time-varying delay with known bounds. The designed controller whose parameters are solvable can introduce past state information and reduce the system conservativeness. The more general Lyapunov-Krasovskii functional is selected and the switching law is designed in order to analyze the open-loop system stability, and the memory state feedback controller is designed for the closed-loop system and the criterion for its asymptotic stability. Discuss the solvability of the above two criteria. Finally, a numerical example is given. The simulation results show that the proposed method is more feasible and effective.


2015 ◽  
Vol 82 (1-2) ◽  
pp. 349-355 ◽  
Author(s):  
Omar Naifar ◽  
Abdellatif Ben Makhlouf ◽  
Mohamed Ali Hammami ◽  
Abderrazak Ouali

Author(s):  
Mengxiao Deng ◽  
Yali Dong

This paper studies the problem of finite-time stabilization of a class of switched linear time-varying delay systems. An event-triggered sampling mechanism and an event-triggered state feedback control are proposed. Based on Lyapunov-like function method, linear matrix inequality technique and averaged dwell time method, sufficient conditions for switched delay systems under event-triggered state feedback control are given to ensure the finite-time stabilization of the switched delay systems. Finally, a numerical example is given to verify the validity of the proposed results.


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